36251058816 has 896 divisors, whose sum is σ = 136993996800. Its totient is φ = 9311791104.

The previous prime is 36251058731. The next prime is 36251058827. The reversal of 36251058816 is 61885015263.

36251058816 is a `hidden beast` number, since 3 + 6 + 2 + 51 + 0 + 588 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 285441345 + ... + 285441471.

Almost surely, 2^36251058816 is an apocalyptic number.

36251058816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36251058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68496998400).

36251058816 is an abundant number, since it is smaller than the sum of its proper divisors (100742937984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36251058816 is a wasteful number, since it uses less digits than its factorization.

36251058816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 36251058816 in words is "thirty-six billion, two hundred fifty-one million, fifty-eight thousand, eight hundred sixteen".